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Finding the Third Proportional to 4,534,380 and 9,580,608

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Solution

The third proportional to 4,534,380 and 9,580,608 is: 20,242,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534,380 : 9,580,608 = 9,580,608 : x
  2. Step 2: Convert to fraction form
    4,534,380/9,580,608 = 9,580,608/x
  3. Step 3: Cross multiply
    4,534,380x = 9,580,608 × 9,580,608
  4. Step 4: Simplify right side
    4,534,380x = 91,788,049,649,664
  5. Step 5: Solve for x
    x = 91,788,049,649,664/4,534,380
  6. Step 6: Final answer
    x = 20,242,690.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.